What is the 1027th prime number?
The 1027th prime number is 8179. The next prime is 8191 (a gap of 12) and the one before is 8171.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 1027th one is 8179.
- 2
8179 is prime because no prime up to ā8179 ā 90.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1027th prime is close to 1027 Ć ln(1027) ā 7122, and here it is 8179.
- 4
8179 has no twin: neither 8177 nor 8181 is prime.
Primes around the 1027th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1024 | 8161 | 14 |
| 1025 | 8167 | 6 |
| 1026 | 8171 | 4 |
| 1027 | 8179 | 8 |
| 1028 | 8191 | 12 |
| 1029 | 8209 | 18 |
| 1030 | 8219 | 10 |
Questions
What is the 1027th prime number?
8179.
Which prime number is 8179?
8179 is the 1027th prime number.
What is the sum of the first 1027 primes?
3,900,450.